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Finding the Fourth Proportional to 19,651.72, 27,119 and 10,699.42

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Solution

The fourth proportional to 19,651.72, 27,119 and 10,699.42 is: 14,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651.72 : 27,119 = 10,699.42 : x
  2. Step 2: Convert to fraction form
    19,651.72/27,119 = 10,699.42/x
  3. Step 3: Cross multiply
    19,651.72x = 27,119 × 10,699.42
  4. Step 4: Simplify right side
    19,651.72x = 290,157,570.98
  5. Step 5: Solve for x
    x = 290,157,570.98/19,651.72
  6. Step 6: Final answer
    x = 14,765.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.